Antipodes Tunneling System

You are on in Auckland, New Zealand and need to get to The Falkland Islands.  Unfortunately, boats and aeroplanes have never been invented. Fortunately, the 'Antipodes Tunneling System' has. The ATS allows you to appear on the opposite side of the world (as if you have tunneled through the centre of the earth) at the click of a button.  The question is, using the ATS, and using straight line distances when walking between places, what is the shortest route from these two islands (exclude any ATS travel)?   Send through your answer and I will publish the shortest route found so far.

Think you've got a good answer? Check the current best here

Current best answer by Isaiah and Ben!